4 papers · 1 filter
On the attainment of boundary data in variational problems with linear growth
David Meyer
It is well-known that convex variational problems with linear growth and Dirichlet boundary conditions might not have minimizers if the boundary condition is not suitably relaxed.…
Motion of a massive rigid loop in a 3D perfect incompressible flow
Olivier Glass, David Meyer, Franck Sueur
We consider the motion of a rigid body immersed in an inviscid incompressible fluid. In 2D, an important physical effect associated with this system is the famous Kutta-Joukowski e…
Desingularization of vortex sheets for the 2D Euler equations
Alberto Enciso, Antonio J. Fernández, David Meyer
We show how to regularize vortex sheets by means of smooth, compactly supported vorticities that asymptotically evolve according to the Birkhoff-Rott vortex sheet dynamics. More pr…
Steady bubbles and drops in inviscid fluids
David Meyer, Lukas Niebel, Christian Seis
We construct steady non-spherical bubbles and drops, which are traveling wave solutions to the axisymmetric two-phase Euler equations with surface tension, whose inner phase is a b…